Existence and uniqueness of mild solutions of nonlinear difference-integrodifferential equation with nonlocal condition

Authors

  • H. L. Tidke North Maharasjhtra University, Jalgaon-425 001
  • R. T. More Arts, Commerce and Science College, Bodwad, Jalgaon-425 310

DOI:

https://doi.org/10.24297/jam.v9i3.2427

Keywords:

Existence, uniqueness and continuous dependence, difference-integrodifferential equation, Bana ch fixed point theorem, semigroup theory.

Abstract

In this paper we investigate the existence, uniqueness and continuous dependence of solutions of the difference-integrodifferential equations. The results are obtained by using the well known Banach fixed point theorem, the theory of semigroups and the inequality established by B. G. Pachpatte.

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Author Biography

R. T. More, Arts, Commerce and Science College, Bodwad, Jalgaon-425 310

Department of Mathematics

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Published

2014-09-17

How to Cite

Tidke, H. L., & More, R. T. (2014). Existence and uniqueness of mild solutions of nonlinear difference-integrodifferential equation with nonlocal condition. JOURNAL OF ADVANCES IN MATHEMATICS, 9(3), 2415–2430. https://doi.org/10.24297/jam.v9i3.2427

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Articles